Answer :
The factors in the word problem for the amount of fat in the ice cream
combination are given by the fat in each constituent.
- The amount of fat in Cherry ice-cream is 27 grams.
- The amount of fat in the Mint Chocolate Chunk ice-cream is 17 grams.
Reasons:
The given parameters are;
Let C represent the amount of fat in Cherry ice-cream, and let M represent
the amount of fat in Mint Chocolate Chunk ice-cream, we get;
2·C + M = 71...(1)
C + 2·M = 61...(2)
Multiplying equation (1) by 2 and then subtracting equation (2) from the
result gives;
2 × (2·C + M) = 2 × 71
4·C + 2·M = 142...(3)
(4·C + 2·M) - (C + 2·M) = 142 - 61
3·C = 81
[tex]C=\dfrac{81}{3} =27[/tex]
The amount of fat in Cherry ice-cream C = 27 grams
2 × 27 + M = 71
M = 71 - 2 × 27 = 17
The amount of fat in the Mint Chocolate Chunk ice-cream, M = 17 grams
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